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math.AP2013
A matrix differential Harnack estimate for a class of ultraparabolic equations
Hong Huang
Let be a positive solution of the ultraparabolic equation \begin{equation*} \partial_t u=\sum_{i=1}^n \partial_{x_i}^2 u+\sum_{i=1}^k x_i\partial_{x_{n+i}}u \hspace{8mm} \mbox{…
math.AP2007★ 1 cited
Local derivative estimates for heat equations on Riemannian manifolds
Hong Huang
In this short note we present local derivative estimates for heat equations on Riemannian manifolds following the line of W.-X. Shi. As an application we generalize a second deriva…